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Finding the Fourth Proportional to 102,590.10, 153,902.16 and 36,012.96

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Solution

The fourth proportional to 102,590.10, 153,902.16 and 36,012.96 is: 54,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.10 : 153,902.16 = 36,012.96 : x
  2. Step 2: Convert to fraction form
    102,590.10/153,902.16 = 36,012.96/x
  3. Step 3: Cross multiply
    102,590.10x = 153,902.16 × 36,012.96
  4. Step 4: Simplify right side
    102,590.10x = 5,542,472,331.99
  5. Step 5: Solve for x
    x = 5,542,472,331.99/102,590.10
  6. Step 6: Final answer
    x = 54,025.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.